Hard Math Problem (in CB Book)

<p>Page 674 #20... if you can figure it out, please explain :(</p>

<p>g(x) is f(x), but moved to the right 3 units and down 2 units.
f(x) = x^3-4x
g(x) = (x-3)^3 - 4(x-3) - 2</p>

<p>h = -3
k = -2</p>

<p>hk = 6 = E.</p>

<p>hope that helps.</p>

<p>Ok, this problem is actually a simple one if you are familiar with equations of this sort. </p>

<p>to find the h and k terms in the function g, you simply compare the graphs. </p>

<p>k is the vertical shift. look at the minimum point on the graph of function g, and you will see that it is two units lower than the minimum on the graph of the function f. Thus, k=-2 (shifted downward two units). </p>

<p>h is the horizontal shift. note that the minimum point is three units to the right (from the minimum point on the graph of the function of f) on the graph of the function of g. Thus, h=3 (shifted three units to the right).</p>

<p>Thus to find h*k, you multiply the vertical shift, which we've found to be -2, by the horizontal shift, which we've found to be three. </p>

<p>3*-2=6, choice E</p>

<p>rmac: Your explanation is incorrect because it's not asking for what the shift is, but rather how the shift is used in the equation.</p>

<p>and btw, 3*-2 does not equal 6.</p>

<p>You should have learned this in either precalc or algebra. If you didn't, thats why you are getting it wrong. anything added to x inside the parentheses is moving the graph up. Anything subtracted from x is moving it down that many. As you can see the graph is shifted down 2, so h is -2. Anything outside the parentheses in this case would move the graph left or right. If it is added, it actually goes left. If subtracted, it goes right by that many units. Since the graph is moved to the right three units. So this must mean k is -3. -2x-3=6 which is choice E.</p>

<p>hahaha, ooooops. h is negative -3.</p>

<p>Thanks guys! Hahaha I can't figure out the one right before it either... #19. It seems some practice tests are a lot harder than others</p>

<p>Devils: anything inside the parentheses moves it left or right, anything outside it (not directly affecting x) is moving it up or down. not vice versa.</p>

<p>I don't see why it doesn't work? I'm not particularly good at math (67 psat, much better on the other sections). but the answer makes sense, thats how i solved the problem and i got the answer right when doing the practice test.</p>

<p>it's right, you just mislabeled h, haha, my bad.</p>

<p>Oops, my bad haha, you're right. As for number 19, the best way to solve these, and for the SAT II's as well is just to pick random numbers for each, and make them work. Then just plug those numbers into the answer choices and see which one give you the same answer.</p>

<p>that could take forever ^_^</p>

<p>I'll admit it can take a minute or two, but it always works. I'm no math genius, but I was able to get that answer in about 1 minute.</p>

<p>I took a PSAT writing practice test solely testing writing ability (not essay). I scored 33 out of 42 correct. What score out of 800, would be equivalent to 33/42. On my diagnostic i answered 16/20 correct and got a 70. I would assume based upon that that my score would be around a 680,690,700, considering that 33/42 is relatively equal to 16/20. Please explain how you calculated the score. Thank you.</p>

<p>While reading the Kaplan text I came across identifying sentence errors sentence in the CB book. The sentence is on page 58, and its the first example given. It reads as follows: </p>

<p>The collection of paintings entitled “Clammy Clam Clams” are one of the most widely traveled exhibits in recent years</p>

<p>The verb “are” is incorrect since the subject is collection. I understand that completely. The word entitled however was not marked as being incorrect, and if I am not mistaken titled should be used in place of entitled. Entitled most nearly means in laymen’s terms “qualified for a right” For example, John is entitled to receive his share of the money. I learned this in English and I am wondering, if am I correct. IS this one of the numerous mistakes in the Kaplan test prep book?</p>

<p>i think it is entitled. if there are 2 wrongs, go with the one that is obviously wrong.</p>